Search a number
-
+
444444100 = 225241108401
BaseRepresentation
bin11010011111011…
…010110111000100
31010222022002200121
4122133122313010
51402234202400
6112033551324
714004466252
oct3237326704
91128262617
10444444100
11208971481
12104a15544
1371102b99
14430535d2
152904221a
hex1a7dadc4

444444100 has 36 divisors (see below), whose sum is σ = 987975828. Its totient is φ = 173440000.

The previous prime is 444444097. The next prime is 444444101. The reversal of 444444100 is 1444444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 73034116 + 371409984 = 8546^2 + 19272^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (444444101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50101 + ... + 58300.

It is an arithmetic number, because the mean of its divisors is an integer number (27443773).

Almost surely, 2444444100 is an apocalyptic number.

It is an amenable number.

444444100 is an abundant number, since it is smaller than the sum of its proper divisors (543531728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444444100 is a wasteful number, since it uses less digits than its factorization.

444444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108456 (or 108449 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444444100 is about 21081.8428985703. The cubic root of 444444100 is about 763.1426312236.

Adding to 444444100 its reverse (1444444), we get a palindrome (445888544).

The spelling of 444444100 in words is "four hundred forty-four million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 108401 216802 433604 542005 1084010 2168020 2710025 4444441 5420050 8888882 10840100 17777764 22222205 44444410 88888820 111111025 222222050 444444100